Finding the Third Proportional to 6,593 and 7,997
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Solution
The third proportional to 6,593 and 7,997 is: 9,699.99
Step by Step Solution
- Step 1: Write the proportion equation
6,593 : 7,997 = 7,997 : x - Step 2: Convert to fraction form
6,593/7,997 = 7,997/x - Step 3: Cross multiply
6,593x = 7,997 × 7,997 - Step 4: Simplify right side
6,593x = 63,952,009 - Step 5: Solve for x
x = 63,952,009/6,593 - Step 6: Final answer
x = 9,699.99
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.